Let m m m be a differentiable function on the real numbers with a local maximum at x = 5 x = 5 x = 5 , where m ( 5 ) = − 1 m(5) = -1 m ( 5 ) = − 1 . Define n ( x ) = 3 x m ( x ) + 5 n(x) = 3xm(x) + 5 n ( x ) = 3 x m ( x ) + 5 and o ( x ) = 2 x m ( x ) + 3 x + 5 o(x) = 2xm(x) + 3x + 5 o ( x ) = 2 x m ( x ) + 3 x + 5 . Calculate n ( 5 ) n(5) n ( 5 ) , o ( 5 ) o(5) o ( 5 ) , n ′ ( 5 ) n^{\prime}(5) n ′ ( 5 ) , and o ′ ( 5 ) o^{\prime}(5) o ′ ( 5 ) .

n ( 5 ) = − 10 n(5) = -10 n ( 5 ) = − 10 o ( 5 ) = 10 o(5) = 10 o ( 5 ) = 10 n ′ ( 5 ) = − 3 n^{\prime}(5)=-3 n ′ ( 5 ) = − 3 o ′ ( 5 ) = 1 o^{\prime}(5)=1 o ′ ( 5 ) = 1

n ( 5 ) = 10 n(5)=10 o ( 5 ) = 10 o(5) = 10 o ( 5 ) = 10 n ′ ( 5 ) = − 3 n^{\prime}(5)=-3 n ′ ( 5 ) = − 3 o ′ ( 5 ) = 1 o^{\prime}(5)=1 o ′ ( 5 ) = 1

n ( 5 ) = − 10 n(5) = -10 n ( 5 ) = − 10 o ( 5 ) = 10 o(5) = 10 o ( 5 ) = 10 n ′ ( 5 ) = 3 n^{\prime}(5)=3 o ′ ( 5 ) = 1 o^{\prime}(5)=1 o ′ ( 5 ) = 1

n ( 5 ) = − 10 n(5) = -10 n ( 5 ) = − 10 o ( 5 ) = 10 o(5) = 10 o ( 5 ) = 10 n ′ ( 5 ) = − 3 n^{\prime}(5)=-3 n ′ ( 5 ) = − 3 o ′ ( 5 ) = − 1 o^{\prime}(5)=-1

Let mmm be a differentiable function on the real...

A

$n(5) = -10$

$o(5) = 10$

$n^{\prime}(5)=-3$

$o^{\prime}(5)=1$

B

$n of 5 equals 10$

$o(5) = 10$

$n^{\prime}(5)=-3$

$o^{\prime}(5)=1$

C

$n(5) = -10$

$o(5) = 10$

$n prime of 5 equals 3$

$o^{\prime}(5)=1$

D

$n(5) = -10$

$o(5) = 10$

$n^{\prime}(5)=-3$

$o^{'} (5) = - 1$

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